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Finding the Third Proportional to 5,496,678 and 8,080,641

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Solution

The third proportional to 5,496,678 and 8,080,641 is: 11,879,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496,678 : 8,080,641 = 8,080,641 : x
  2. Step 2: Convert to fraction form
    5,496,678/8,080,641 = 8,080,641/x
  3. Step 3: Cross multiply
    5,496,678x = 8,080,641 × 8,080,641
  4. Step 4: Simplify right side
    5,496,678x = 65,296,758,970,881
  5. Step 5: Solve for x
    x = 65,296,758,970,881/5,496,678
  6. Step 6: Final answer
    x = 11,879,313.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.